@article{7389,
  abstract     = {Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space W_2(R^n). It turned out that the case of the real line is exceptional in the sense that there exists an exotic isometry flow. Following this line of investigation, we compute Isom(W_p(R)), the isometry group of the Wasserstein space
W_p(R) for all p \in [1,\infty) \setminus {2}. We show that W_2(R) is also exceptional regarding the
parameter p: W_p(R) is isometrically rigid if and only if p is not equal to 2. Regarding the underlying
space, we prove that the exceptionality of p = 2 disappears if we replace R by the compact
interval [0,1]. Surprisingly, in that case, W_p([0,1]) is isometrically rigid if and only if
p is not equal to 1. Moreover, W_1([0,1]) admits isometries that split mass, and Isom(W_1([0,1]))
cannot be embedded into Isom(W_1(R)).},
  author       = {Geher, Gyorgy Pal and Titkos, Tamas and Virosztek, Daniel},
  issn         = {10886850},
  journal      = {Transactions of the American Mathematical Society},
  keywords     = {Wasserstein space, isometric embeddings, isometric rigidity, exotic isometry flow},
  number       = {8},
  pages        = {5855--5883},
  publisher    = {American Mathematical Society},
  title        = {{Isometric study of Wasserstein spaces - the real line}},
  doi          = {10.1090/tran/8113},
  volume       = {373},
  year         = {2020},
}

@article{175,
  abstract     = {An upper bound sieve for rational points on suitable varieties isdeveloped, together with applications tocounting rational points in thin sets,to local solubility in families, and to the notion of “friable” rational pointswith respect to divisors. In the special case of quadrics, sharper estimates areobtained by developing a version of the Selberg sieve for rational points.},
  author       = {Browning, Timothy D and Loughran, Daniel},
  issn         = {10886850},
  journal      = {Transactions of the American Mathematical Society},
  number       = {8},
  pages        = {5757--5785},
  publisher    = {American Mathematical Society},
  title        = {{Sieving rational points on varieties}},
  doi          = {10.1090/tran/7514},
  volume       = {371},
  year         = {2019},
}